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Simplifying 0.4x + 0.9(10 + -1x) = 8 0.4x + (10 * 0.9 + -1x * 0.9) = 8 0.4x + (9 + -0.9x) = 8 Reorder the terms: 9 + 0.4x + -0.9x = 8 Combine like terms: 0.4x + -0.9x = -0.5x 9 + -0.5x = 8 Solving 9 + -0.5x = 8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -0.5x = 8 + -9 Combine like terms: 9 + -9 = 0 0 + -0.5x = 8 + -9 -0.5x = 8 + -9 Combine like terms: 8 + -9 = -1 -0.5x = -1 Divide each side by '-0.5'. x = 2 Simplifying x = 2
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